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DLMF:27.3.E5 - MaRDI portal

DLMF:27.3.E5 (Q8699)

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DLMF:27.3.E5
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    Statements

    DLMF defining formula
    d ⁡ ( n ) = ∏ r = 1 ν ⁡ ( n ) ( 1 + a r ) , divisor-function-D 𝑛 superscript subscript product 𝑟 1 number-of-primes-dividing-nu 𝑛 1 subscript 𝑎 𝑟 {\displaystyle{\displaystyle d\left(n\right)=\prod_{r=1}^{\nu\left(n\right)}(1% +a_{r}),}}
    0 references
    Symbols used
    Q12243
    DLMF defining formula
    d k ⁡ ( n ) divisor-function-D 𝑘 𝑛 {\displaystyle{\displaystyle d_{\NVar{k}}\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p4.m12adec
    0 references
    Q12236
    DLMF defining formula
    ν ⁡ ( n ) number-of-primes-dividing-nu 𝑛 {\displaystyle{\displaystyle\nu\left(\NVar{n}\right)}}
    xml-id
    C27.S2.SS1.p1.m6aadec
    0 references
    positive integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C27.S1.XMD4.m1ddec
    0 references
    primitive root
    DLMF defining formula
    a r subscript 𝑎 𝑟 {\displaystyle{\displaystyle a_{r}}}
    xml-id
    C27.S2.XMD1.m1adec
    0 references

    Identifiers

     
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